{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Taming time series\n",
    "\n",
    "Time series are collections of points collected at successive times, usually with equal time intervals between them.\n",
    "\n",
    "## Importing and visualising Time Series data\n",
    "\n",
    "In this module, we will consider the \"bikes\" dataset again but this time taking a time-series perspective. \n",
    "\n",
    "* Load the data `bikes.csv`\n",
    "* Specify that you want to parse the column `'dates'` as dates using `parse_dates=['dates']` and\n",
    "* Use the dates as the index column\n",
    "\n",
    "Check with `.head()` that everything is fine then\n",
    "* Display the temperature time series (you can either use `pandas` plotting facility by doing `bikes.plot(...)` or use `matplotlib` directly)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>temperature</th>\n",
       "      <th>humidity</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2011-01-03</th>\n",
       "      <td>2.716070</td>\n",
       "      <td>45.715346</td>\n",
       "      <td>21.414957</td>\n",
       "      <td>120.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-04</th>\n",
       "      <td>2.896673</td>\n",
       "      <td>54.267219</td>\n",
       "      <td>15.136882</td>\n",
       "      <td>108.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-05</th>\n",
       "      <td>4.235654</td>\n",
       "      <td>45.697702</td>\n",
       "      <td>17.034578</td>\n",
       "      <td>82.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-06</th>\n",
       "      <td>3.112643</td>\n",
       "      <td>50.237349</td>\n",
       "      <td>10.091568</td>\n",
       "      <td>88.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-07</th>\n",
       "      <td>2.723918</td>\n",
       "      <td>49.144928</td>\n",
       "      <td>15.738204</td>\n",
       "      <td>148.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            temperature   humidity  windspeed  count\n",
       "date                                                \n",
       "2011-01-03     2.716070  45.715346  21.414957  120.0\n",
       "2011-01-04     2.896673  54.267219  15.136882  108.0\n",
       "2011-01-05     4.235654  45.697702  17.034578   82.0\n",
       "2011-01-06     3.112643  50.237349  10.091568   88.0\n",
       "2011-01-07     2.723918  49.144928  15.738204  148.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bikes = pd.read_csv('data/bikes.csv', parse_dates=['date'], index_col='date')\n",
    "bikes.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10c8c1f98>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bikes.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: only plot the temperature\n",
    "With the graph above it's hard to get an indication for the temperature in the data. Plot a graph with just the temperature as y-axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10ae7a390>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bikes['temperature'].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Number of bikes in a given month\n",
    "\n",
    "From the chart above, you can see that the data covers two years and that there is a similar pattern in both years which is to be expected for the temperatures. \n",
    "\n",
    "The data can be queried according to dates. For example, you can aggregate the data from just January 2012 and check the sum of bikes hired that month. Can you compare that with the number of bikes hired in August? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5939 bikes in January vs 37025 bikes in August.\n"
     ]
    }
   ],
   "source": [
    "jan_start = pd.Timestamp(\"1st January 2012\")\n",
    "jan_end = pd.Timestamp(\"31st January 2012\")\n",
    "bikes_jan = bikes[jan_start:jan_end]['count'].sum()\n",
    "\n",
    "aug_start = pd.Timestamp(\"1st August 2012\")\n",
    "aug_end = pd.Timestamp(\"31st August 2012\")\n",
    "bikes_aug = bikes[aug_start:aug_end]['count'].sum()\n",
    "\n",
    "print(\"{0:.0f} bikes in January vs {1:.0f} bikes in August.\".format(bikes_jan, bikes_aug))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Resampling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can aggregate time series by resampling the points on a coarser time level. \n",
    "\n",
    "* Use the `.resample` to get the data corresponding to monthly averages\n",
    "* Display the `temperature` time series for the monthly averages. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11aee1f60>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bikes_monthly = bikes.resample('M').mean()\n",
    "\n",
    "plt.figure(figsize=(12, 3))\n",
    "plt.plot(bikes_monthly.temperature, \"-o\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Resample by the mean of each week and uses the humidity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11af5ada0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bikes.plot(y='humidity', figsize=(12, 3), fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11b37f710>]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XwjmPX5r1IRhL4r4sMbzDYYJWpaiYGJbbsDS2HITLpodeo0SHTY8Oqw5nb4tbPIanVnFXJgKwI1PZZo1QjGJMr0TgCcUxdKgDerWSLe63ICxRpD5hYphRNwxPeWHVq9HXYhT9/z3tFkQTaUy4g5t8ZHc2pSrDDrMW3nACsSR3AXcHxDOJpXj7LicAFFgl+Hzhe7etiWGVUoHd7ZaKJUrIbVgadwexzbG2jX24145zk6sF46g9wRgmPWFhF0OoDPtZZbiS3GnbycPT3MLqcI8du9rNuMZsX1sOlihSnzAxzKgbzk+t5gzbyIc10VUHdyAGBSkcxczDi2R3MI5YMgV/NIlmGZXhbQ4TepsNBVaJ02MeDLSaCyrS+11WXJnzV6QZ7VOP9SP/bJJqWEqnKcaWQtjuWFuMHelpwoI/itm8GxUfAciPDG82aqBWEsx5608MN6qgvBO3k8/fXoVBo0R/qwm72y24Nu8vWGgx7mykrrMsUaS2MDHMqAv80QRuLgUL8oWz2eE0QaNUsCa6CrMcjMFu1BZMXuPhLRHLgRhWQpmMYRliGAAe2uXE6TEPInGuuhxPpnFmckVIkchmn8uCYCyJ23m2ivXgajKAAjDruHQSq14t2bC04I8ikkhhe1Zl+Egvdz7mp2Gcn1qFSkGwnx8lrSBos+qw4Kuv6k4jC8o7cTt5eNqLg502YQfEH02yfOoGYqMLS0op9GpF2Qt0xubBxDCjLhiZ9oFS4K4ecb8wAKiVCvS3mZjPrsIsB+JFbQ9Oy5oYdgd4MVy+TQLgrBKxZBqvjbkBcJXVaCItIYY5gVkJq8Q3z0zDpFXhjU8/DLtRg8f2tEo2LGUnSfDsarPApFUV5A0PT3mxu90CvWZt0l67RY/5OhM2jSwo77Tt5GgihatzfiEtZ0+7GQBwjV3PKkq1dkIqsbA8dWUBM94ofuFoF2wGNQBusBFLFKk9TAwzas7J4Vn8+tfOAQB+95mRoheXPe1cogTbWqwcy0HxUcw8jqwpdPzAjXKj1XiO9tlh0CgFq8RrY24QAtzbVyiG+1vN0Cg33kTnjybw/UtzeN+hDhg0KhzotGJkRvprji1lxLBzzSahVBAMdttyKsOpNMXF6cIIwHabrqQY3mzLQiMLyjttQMXlWR+SaSr4zAfaLCAEbKerglRzJ2SjC8tUmuJPfnQD2x1G/MHQfnzzE8cAAE++axcTwnUAE8OMmsJfvAJRbszyvC9a9OK1p90CTyiek3vL2BhuielzPPykuaVAdK3ZTqZNQqtS4v4dLXjp+hIopTg95sG+DiusmepINmqlArvazRsWw9+7OIdoIo2fP9IFADjQacPNpYDkSO9xdwhmnargZzvc04TRxQB8kQQA4MZiAKF4SvAL87RlptBJLdRqYVloZEF54vgANMrcW1QjbycPT3E+80Nd3CLKpFWhx25gTXQVpJo7IRtdWD53cRY3l4L45KP9UCoIdji58fPFFuibQaP2FFQaJoYZNUXuxWtvZgudWSUqA6W0ZGVYo1KgyaDOqQw3y7RJAJxVYs4XxcUZH4anvKIWCZ59Lisuz/o2tAPwrTPT2NVmxoFMdvHBTivSFLgsMe55bJlLkshv4Ly71w5K16L/zgsRgLliuN3CDd7whMQHb9TCsnDi+AD0amXOY40iKIcGXTjSu1Z9b7XUdjt5o6Lh/NQquuz6nPca30THqAzV3AnZyMIykUrjz35yE7vbLXjXPm40vVJBsM9lwaUaiuFG7imoNEwMM2qK3IvXrjbOZ3dlrrar6TsFfzSJeDJdVAwDa4M3PME4DBplwbjscnhogItY++KpUcRT4n5hnv0uK/zRJKbW2UR3bd6PizM+fOhIlyBu+YEeIzNe0c/JT5LgOdRlg1JBcC6TNzw85UWzUYMue+5NsD1zU5QavFELy8LQoAt/OLRX+LhYA2G9QSnFhDsMs5Y71/72l47UVAhvVDQMT3kLFlC72y24vRJGKCa+W8GQRzV3QridivWN0n7m3Axue8L41GP9UGQ1Ku932XBlzi858r3aNHJPQaVhYphRU+RevF64tgSlguCLP7qxpbd0KoXgAS5he+AHb7hlTJ/Lp82qQ4dVh1ducU10ny4iJvZ1bKyJ7ptnpqFRKvB4lnhymnVot+pwUaQSE4wlseCP5jTP8Ri1KuxuNwu+YS4CsKmggtyeyRqW8g3XyrJwpHdt0fEfj/U0hBAGgOsLAcz7onjPQa6StipRcd8MNioa5n0RLPijGOzK9ZnvabeAUkiO/GbI48TxAeSH4lRqJ2Ro0IX7d7QIH5u0qpILy5PDs7jvqRfw5LOXoFYS+DNWK54DnVZEEincWq5Ndn4j9xRUmrLEMCHERgh5hhBynRByjRByjBBiJ4T8mBByM/O3dCZWg8M8NdXjxPGBgkgvqYsXX53hJ9Bt5S2dSsGPWS5VGXaYtVjy82JYvkUC4F6/bK93MX94f5sJaiWRtDQUI5ZM4eSFWTy2txVNeZmeBzqtuCRSGR4XSZLI5kiPHcPTq3AHYxhfDhU0zwFAe2YK3bxEvNqJ4wPQqTbfAzvhCQn/XvI3jteeb7b8wF2dACDE+tWCjYoG3i+cP2p+dyY7nTXRVYb3H+qANus91m7VVXQnJBhL4q5uG/a5LDjUZSsphJ989pIQnZdIUXz6O5dzrndru1W12els5J6CSlNuZfjPAfyQUroLwEEA1wA8AeAFSulOAC9kPr7jYJ6a6jI06EKrWQutistedNn0khcvtqVTeWRXhgPxdVeGnz41imTeIA2p10+rUmKgbX1NdD+6sghvOIGfv7ur4P8OdNow6QnDF86t0PCxajuc4tMPj/Q2IZpI41/emAJQ6BcG1gZvSFWGhwZd+Pj9fcLHZl3pylIlmHRzYthp1mIpUF/Rb8V48foS9rusGMhYo1bDtRPDGxUNw1Or0Ki4bOGcz7fqYNGpmG+4Qkx6wogk0nj3AW434Yv/4WDF3l+JVBojMz4Mdjdhv8uGkRlv0Z6Gcu5Xfc1GmLWqmvmGxSrpWpVC9gL9TigYlhTDhBALgAcB/AMAUErjlFIvgPcD+GrmaV8FMFStg6wlTIBVF357+j+/dTsmvvBuvPrE2yUvXmxLp/KUWxl2mrWIJ9OY9IRkTZ/LRu7rt6/DiksiTXRSF17+8d/8+jCUhMAtUgU92MlVdEdmc6vD48shKBUE3XYJMdxjBwB89bVJKAiEprxsFAqCVosO80XORz6SzmnW4khP06ZYFibcIRg1SuztsDRMCstqKI7hqVU8tMsJs1YFlYLUtDK80UbE81Ne7HdZocnbGSCEsCa6CnIhM+76o/f0AMCGE2myuT4fQCyZxqEuGw50lu5pKOd6p1AQ7HNZMVLB45TDO/a1gQAwapUgAAgBOmw6vO9gR9lf404pGJZTGd4GYBnAPxJChgkhXyGEGAG0UkrnASDzt1PskwkhnyCEnCWEnF1eXq7YgW8WTIBVl5FpL9IUuEtk2zkftqVTedzBGJQKApu+MOIsG14sx5JpONZpk5D7+u1zWeGLJDCzuvZek7rwfubkJeFxAEhRik+fvFxwQeYnxuVvS44tB9FtNxSIFZ7Xxz1QEgJPKA4FIfjx1UXxn8VafPDG6IIfLSYN3trvwIXp4pWlSjHpCaGn2Sg0QTYC/35jGWnKJZAQQmAzaGpaGR4adOGpD+wXqmh6tbLsqn48mcalWZ/kNW53uwWjC4GKjB/f6lyY8sKgUeJonx0umx6XK5g6xAvtwW6b5HUkm3Kvdwc6rbg270c8uflNdOdvryJFgb/88CAmvvBu/NHPHcCEO4xvnJku+2vcKQXDcsSwCsBdAL5MKR0EEIIMSwSl9O8opUcopUccDsc6D7N2MAFWXfiYqmJjmHkaOSaqXlkOcB5ghcQoZp7s7F25Azd45L5+/A0nu7ojdeH92utTZV2QrQY1epsNuDidWxmWSpIAsrzqGeGaTFPJykebVYcFfxExvBhEf6sZh7ptWA0n1p2WIYdJdwh9LUY4LVq4gzHBc1/PvHB9CS0mDQ5kzgG7UV3TyjAAHN/bBv5Xt81hLLuqzwudfL8wz54OC8LxVEXGj291LkxzFXilgmBvhwVXKlhxHZ7ywmHWwmXTc4OBVIqiDb7lNvPt77QinkzjxuLmN1G+cssNlYLgaGb40X843Il7t9nx1L9dw5LIdSx/V+6Zs9NCASKfRisYliOGZwDMUErfyHz8DDhxvEgIaQeAzN9L1TnE2nLi+ADU64xTYZTm/JQXO5wm0eEL+fDVmQ4b17VvLqObl1EcdzBe0iIB5Noo1usZ5l8/l01f0h8OAANtZqgUJOeGI3WBlZJ3Ys8/0GnLqeik0hQT7pBk85ycyke7lZtCJ1bxTacpbi4GODGcSRW4MC0e81YpEqk0plcj6G0xwGHWIk0BT6i+q8PJVBr/PrqEtw04hUVak0GD1Tyf92Yzl2mMdJi1uLkULHtRwedTizVdAlyiBMCy0zdKNJHC1Xk/DmV+z/tcVoy7QwhEK3PeDE97MdhlAyFE8H9LxTQCwDv351oQpK53B1wZ61YNfMOv3nJjsNsGUya+kBCCzz++H7FkGp/4f2dzhG/27hu/K/epZ0Ykv3ajFQxLhoVSShcIIdOEkAFK6SiAhwFczfz5GIAvZP7+blWPtEYMDbrwjTen8MbEinDD/eSjO5kAqwCUUgxPreKR3a1lf87QoAtDgy4ce+oFvGVHS8Vfh5PDs3j61CjmvBF02PQ4cXzgjn6tucrw5ohhYO31K4cfXl4AAPzNT8e4iKLtzSAEEHMWKAmQEnlc7IJ8oNOK5y7OYckfhdOiw8xqGPFUWlIMy7FKtVt1iCfTWAnFC7zVs94IwvEUBtrMGGg1Q69W4sK0F+8/VL3za3oljFSaorfZCLOOu9wvB2JwmnVV+54b5dztVfijSTy8a815ZzdqcGupNvFTPPNerlL2tn4Hvn1uBrc9IWyTOGeyGZ72os2iE9JG8tnhNEGpILg27xcavxjyuTrvRyJFhfi6fS5ukXFtPoCjffYNfe3VUBwT7hA+dGStKfeAy4rvDM8inaaiO2vDU16kKPBnPz+IR/dI3+O67HpY9WpcmvUC6N7QccrBF05gZNaH33p4Z87j2xwmPLLLiR9krr8Ad+3659enRL+OUaNEmlJEEms2j0YsGJabJvGbAL5GCBkBcAjA58GJ4EcJITcBPJr5+I5k3h/Fw7udOPN7j0CjUuC2h21nVYJJTxir4QTu6pGfyuc0a7FYYf/jndIIIIflEqOYeax6tTAadz3T5+TCvxZ8+sScL4pnzs+i2ajJiU4CuAvvh+/pLtuCcbArtxLDJ0lsl0iSkGOVahPi1Qq3GEczWbL9rWaolArsd1mrXhmezMSqbXMY4cgI4HpvontxdAlqJcFbdq5lujYZa+sZBtYWP2/LDI8pd1v7/NQq7uqR7onQqZXY7jA2RBNdPacGXBDGXXP3Ez6rvBJNdPz79FBWTvT+TiuCsWROdGE2p8c8UBCUFOKEEBzotG56Zfi1MTcoBd6SlZ3MI+e6FI6n8NQHDsCV2bE1asr309cTZYlhSumFjO/3AKV0iFK6Sin1UEofppTuzPy9Uu2DrQVz3ghue8I4tr0FDrMWjx9y4ZlzM/AE6/uGUkvKvWCevy0+1rYcnBadqKdpI6ynEaCebw6lSKcpPKFYWR7g716YE7aFP/qVN6r+c4q9FgA3GvqPfu5AgdXiD4b2l23B2NthgYKsTaIbX84IxhbxKp8crzNv4REVw4u8GOa+z8EuK67Mra9xptzzbsLNLdx7m41wZl7n5TrPGn7p+hLu7rXDrFuzTtkzNolaNpnN+SIgBHjLzhYQAowulK5ULwdimF6JlOyJ2NMAiRK1KhaUe65fyFTg2zLDb5wWHRxmLa5UwH4yPO0tSJE5UGKi5ekxD/a7rLCWaE7mv9boQgBRkWtetXjllhtGjVIoDmRTrAk4nw6bHkODLrz6xMOZpI3i+cv1ivyZqluM02MeAMCxbZzB/Fcf6MM3z07jn1+fwm89srPYp25J+AsmL2T4CyaAgjfI+alVmLUq7HSW3mrMp9WixdnJyq6/5CaHyPlZ6xFfJIFEipasDOc3kPHDMoDq/ZzSr0VU0mo3CYBsAAAgAElEQVRRrgXDoFGhv9UsTKIbWw7CbtQUDOjI/roAyrLP8DfiBZHBGzcWA3DZ9ILIO9TVhL//2QSuzftFb0hSyDnvJt0hmHUq2I0aGLWc6K7nrOHplTBuLAZztqMBrjKcSlMEosmy+guqwZw3AodJC6teja4mA24sFa8Mnxyexf96/ioA4G9fHoPDrJU8P3e3W3Dywhy84ThshurvvKyHYsUCsZ+rEpYzOef6hWlvTuUWAPZ1WHBlbuMV1+GpVQy0WWDUrkmmHQ4TdGoFRmZ8eHywM+f5kXgKw9Or+JW39OV/KVH2u2xIpimuzfslGy0rzau33Lh3WzPUysKaaIdNL9oYR5Dbn5FfFOhvNQnDchoNNo65BKfHPWgyqLErE/y+s9WMhwYc+L+nJzd1FdcoyKmunp/y4lC3rWSSgRitZh1WwwnEkpV7DeQmhzRypMzJ4Vkc/7OXAQB/+eLNotWdWvyc1U5x2e+yCqH5xZIkeLjKx9tLZmG3GLVQK4kwdSqb0YWAUBUGIDT6yLVKyHk9Jj1ckgQhBDq1Ehadqq7j1V4a5W6kb9+Vm9RpN3ICeKWGVol5XxTtmfOvv9WMG0VGKPMijk/AcAfjRauo/DCOep5EJ6dYUKyKLGc3rdxz3ROMYWolLLynePa5rLi5FNzQvTqdprgw7S1ogFQpFVwWuoi94eztFSRSFPdtL7QgiMFXmdc7fl4u0ythTHrCOeOls5HaDfvIvd1Fd9/6W81wB+M1T35ZD0wMl+D0mAf39DXnCLZfe3AbPKE4vtNAW+KbRbkXzGAsidGF9a+CWy0Z/2MFt3z/69u3FzxWrBFgPZXkerBU8Dcq3ju6Gk4UvVHXImu72jF6B7q4aLOZ1QjGloOSzXNy4QdvLOSJ4UQqjbHlIAba1iaQdVi5bVy5YljO6zHhDqG3eU3oOy26uvQM8++Nz373CpQKUuCfbMpUS2s9krkjU/kfaDNhwh2SXIzLXUDyYvja/ObHa5WLnAWq1M//uecuy7JalHuuX5wp9PQCwN4OK1JpiutFFi6lGHcHEYgmC742wPmGr8z5kUzlWp1eG/NApSC4u7e8+1u7VYcWk2bTfMOvjbkBIMeXn41U8s8fDO0vWhTY2coVDWsRE7dRmBguwvRKGLPeCI5tb855/Ni2ZuztsOArPxtnQel58NvE+eRfMEdmyh+2IYbTwm3tV3LLl08p4EVYqbn2cm4O9dScJ/dGXYusbbkxbHI5mKnEvHxzGZ5QvGJiGODOm/yb9aQ7hESKYqBt7fsQQnCoy1aQeVyKcl+PaCKFWW8EvS1ZYtisrTsxnP3eALiou/z3Bi+GV2skhimlmPNGhd9xf6sZyUwknxhyF5AOsxYOs7aufcMnjg+AlJGbC0j/nN5IsirXngtThZ5eYC1RQqqJrpwCxflMY57YvepApxWRRApjy7nnwWtjHhzqssGgKc+JSgjBfpd4lbkavHLLA4dZW9SiWO5uWDb8ztdNJobvLAS/cJ4YJoTgEw9uw9hyCHf/4U82VOmrl2phpRhoLXxz6URmnQ9nLjDlDNsQg68ML1awMvzMuRkMtJrxRx88AAD46q8cLXoBOHF8ACpFeRnU9WSpkHujrtWwk/VcjMtlV5sFGqVCeL9JJUmsh3arvmDwxlrznDnn8UNdNoy7Q/DJyNAt97ybXgmDUqCvxSA85jBr684zXM57w57xc9fKJuGLJBBJpNAuVIa513FUouK4ngVkvY9lfnRPKygFTFruWmDUSqcGyF0oF7v25LvodGqR+8m0FwNtlgLx6bLpYTOoRX3D5RYoLkx7YdapRBts9wsZwWsLWn80gUszXtyXpxtKsb/ThptLAYTjSVmfJ5d0muK1W268ZUcLSP7qZoO0WXQwa1W4sVjbGMT1wMRwEU6Pe9Bi0oiunvhtEU8ovu5KXz1VC/nj2YgwH10I4Ge3PDi2zS5U9ADgrf2Owua526vY7jCuuxlmTQxX5sZ+aymI4SkvPni4U9gKLWUDGBp04UhWLJzDrJW8OdTTWG+5N+pqV2lrAReab8aZSS7RpNKV4fzBGzcWAlCQwu8jDN8oEt6fT8F5ZxI/7/iqZV/WTdxp1mI5ENuUMdDlUs57g29urFVleC6TMcy/R/pajFAqCG5K3PTlLJR5VArgypy/bgsjvJ3nrz9yGG/td6DVrJO8Bpw4PiAagdgkcb2Xuva8Y18blITAqFlbjH/47q6c75tOU1wUaZ4DuMLV3g4LLs8WLjLKLVAMT3FfW6y3ZVuLEUaNMsfre2ZiBWkKHCvTL8xzsNOKNK3+8JXrCwF4QnHRSLWNQgjBzlYTs0ncSVBK8dqYG/dsaxZdPX3pxzcLHpNb6aunauFGhTmlFJ/97mWYdSr89UcOCxW9t+9y4tyUN8dbRynF8LR3XZFqPE0GNdRKUrHK8L+en4FSQfD+wQ6hSaaceBm1SiFUi/7zg9sqYqmoNp98ZCfyz+hSN+pqVmlrhSmrM/zDf/96xcRHW9bgDZ7RxQB6W4zQ5VXYD3RaQchaRmq5KJUEXXbu3PnVB/pEXw8+Y7gv2zNs1iGaSCMQq271SQ7lvDeMGiU0SkXNptDxwpw/Jq1Kib4Wo1Dxz2do0IV2qw4apaKsBeTJ4Vn87Cbn4yzn+luLHcVzt1dBCLeAe2jAgXF3CJMSNpGhQRceyPhRs3/+//HevbJ2mV4bcyORpvjyRw9j7PPvQpddj0t5wnbCE4I/mhSGbeSzr4OLLUvk+XrLWYSFSvS2KBQE+1y5GcGvjXmgUSkkJw5KwY+fv1hlq8Srt7jzTKp5bqPsdJpxs8YDctYDE8MSTLhDWPTHhEi1fCpR6aunauFGhflzF+fwxsQKThwfELY0AeBj9/XCHYzhB5fmhccmPWGshOLrGrbBQwiB01yZrOFUmuLZ8zN4a78DTrMOrWYtFASYL+N1mPNGMNhtQ7fdgDcnpKPeThwfEIZW8NRqSk88RUEBNBs1d0ylVy4nh2fxZlY035w3WrFdmXaRwRs3FoMYyLNIAIBZp8YOhwkXpldlfY/plQgOdTVhm8Moed5NuMNoMqhzdl/4SYKVbDzdKOXYcAghaDKqa1YZns9E5XVk9UQMtJolK2C+cAIz3gh+/W3by1pAPn1qFIm8EYpS199a7Sieu72KfqcZVr1aGDzy01HxGC1KKW4uBfHAzpacnz97l4nndx7rl/zd/PjqEowaJe7ZZodSQfDL9/Xh7O3VHJ+9MGxDQnzudVkRT6ULqvjlLMJGZnxIU0gKbYBb0HLT7zixfXrMgyM9TQUL31K8lhnS8fvPX63qAueVW27scJok+3s2ys5WE1ZC8YabxcDEsASnx8X9wjyVqPTVU7VwPcI8uzrxyW9eQKdNj1+4O3ec5AM7WrDNYcQ/vXZbeGwjwzayabVosVgB/+Mrt9xY9MfwwcNcVqRKqYDTrCtZGRaaaqx63NNnx5uTK5INlUODLhzbtjaJSKNU1ESAxpIp/PVLtzDYbcPZzzxyR1V65SBHfMiF3yngz59oIoVJT6jAL8xzqMuGC9Pesq0LyVQas94IuprWzruUyHk36Q7lNM8BWBu8UUdNdLxA4m0FUouzJoOmZp7hWW8UaiXJGUXe32rG1EoYkXhhosTpcQ8oLb/6Juf6W4sdxXSa4vzUKg5n0hF6W4zY1mLES6PLos+/MufHbU8Y795fOF6a32V69Ym3A4Bk7Fk6TfHCtUW8dcABrYoTlh860gmTVoV/eGVCeN6FaS9MWpWk1WlfR6aJLs83/KnH+gt2yADg/Yc6cr42UJhSkc3+ThviyTRuLAawGorj6rxftl+YX+Dwb+NqLXBiyRTenFipikWCp19IlGis6jATwxKcHvPAadZiW4t4Y00lmopq1ZgkhpQAt0l4vPKrE2kKLAdj+N7FuZznKRQEHzvWi4vTXgxPcSJ4eHr9wzayabXoKmKTeObcDKx6NR7evZZt2m4rLYa9Ya6ppsOmx9E+O7zhRNHtoVlfFA/sbMHHjvVArSR438EOyedWi2+dncGsN4JPPtJf8eaJRqKauzLteYM3bi0FQela01U+h7q5mLeplfLGvM/7okilKbrtBhztsyMQTYo2ck16QjkWCaA6KSyVYGjQBaNWhV+6t0dycWY3ampaGW6z6nJ8owNtJlDKvb75vDbmhkGjLCqispFTGKnFjuLNJS5e7HBWAeNtA06cHveILga+f2keSgXB8b1tkl/TZdPjSE8TvndxXvT/L836sBSI4ZHdrcJjZp0aHzrShR9cmheq9RemvTjQaYVSIq++t5nz9V7JS5Qw69Sg4Cx3BNz71mnW4ltnZ4TF4vDUKvpajJIDeQDgQMbecGnGh9dLFNGk2IwFDl+8iiRSeO7iXNUqz7wYvlliKE29wcSwCJRSvD6+gvu2i/uFgbVqBu877LAVj+Eq9jX4RgOVgtRsu1pMmBPCZdD+3N+8imNPvZDjTxN788aSadE3788d5lbzX31tEgBw/rYXByUaEuTAieGN3dR9kQROXVnA+w91CNUHIBOPJTJFLJvZLB/hvRk7zRsTHtHnznkjuLUUxIM7HdjTYUEonipb/JRLKR9hLJnC37x0C4d7mgQ/31almrsyLSYtVAoiLKZ4oVqsMgyUP3xjepU7b7rsBhzt4867N/POu0g8hXlftKAy7DBzQr2eKsMAVx30RRJFt26bjLWrDM97o4L9hYfPVBXzDb96y42jfXZoVOXdYuWN/N78HcVzmd28w1nWtod2ORBPpnF63J3zXEopvj8yj/u2NxcVkQDwvkMdGF0MiC7mfnJtEQoCPDSQO4Dl4/f3Ik0p/u/p24gmUrg27y+66FAoCPZ2WHE5qzGNUoq/fOkWOpv0ePP3uB2y008+jP/3n+5BIJrAb3/rAtJprrelmEUCAHqaDTDrVBiZ9eH0uAcGjRIHOuX5hau9wOGLV+4g9/5ZCRUfArMRWi1amHWqhmuiY2JYhFtLQbiDsZKru6FBF5581y4AwLf/y33rErFDgy4hFD+ZpnjbgEP+AVeAoUEX/uf79ggfu2x6fPGDB/COva04N+XluuPBCcDf+dZF0VGNgPib16RV4YOHO/H9S/OYdIdwfcG/7nzhbJwWLQLRpGhlolyeH5lDPJkWLBI87VY95r3RolvX/O+gs0mPziY92q06vCHh33wl0xzzQH8L9nZwlYQrFewaLsdH+M0z05j3Rbd8VRio7q4MP3hDEMOLAWhUCvQ2G0SfP9Bqhk6tKFsMz6xw511XkwEumx4umz7H/wysNc/li2GLTgWNSlF3WcP8kBI+JUYMu6F2leFZbyTH5woAPXYDNCpFwU1/wRfF2HII98tIE+ALIxYdV1wplnHOnbu5t25CuG3/anH29gpaTBr0ZJ3DR/vs0KuVeOl6rlXiypwfUythvOdAoUUin3ftb4eCAM9dLBRlP7m2hCO99gJB3WU34LE9bfiXN6ZwdnIVyTQtWYHf67Lg6pxfsBO9esuDi9Ne/PrbtueMIx5oM+Nz79uLn910Y9/nTmE5EMML15eKikZCCA50chnBr415cLTPLjriuBjVXuBsprWGEMJNaGQ2icZH8AtvK30x44XsbY94V205LAWiwjhYudOoKomribvQ/eMv341Xn3g7fu5wV0HnLgCkighEqTfvx+7rRSJF8difvYw0Bb72xtSGV6WtmSrXerZ8+Srq733nMlQKgrG8rc52qw6RTLVKiuwOc0II7umz443xFVEB/e83l+E0azHQasbOVhNUCoKr85XrGi52sTs5PIv7nnoBn/3uFWiUCizX2RZ5Lah2XFyHTSds444uBLDDYYJK4gapUiqw32WVVRlWEM7KA4DzDU/knnd8l3++zYtrPNXWXWWYz2VuKyKGm4waeCMJUX90NUmlKRb9UcH+wqNSKrDDYSqoavLd+vftkLdVPjTowl/94l0AgC996JDkuTg06MJ/f+cu4WObXs3l/+rWF1NZDudvr+Ku7qacRbRWpcT9O1rw4vWlnHPv+ZF5qBQEj+2RtkjwtJi0uH9HC753cT7na8yshnFt3o9HsywS2fynB/rgiyTwy//4JgDgs9+9UvR+sq+DG44x4eau83/10k20WrQFRRCAy8VXEiCcKbL4IsUndAJc3vDVeT9uLQUlm+6LUW3L5GZba/pbTbi5GKirCMdSMDEswukxD1w2vRBdVIxuOycgb3vWt+UdT6axGk7gkd2tXMRSDcXwmxMrIARCkwRQ/M0i5817cZqbEBRPruUzb3SbZr2DN/InXiXTFJ/+zuWcY+FFPZ8vKsacNwKdWiFkZx7ta4Y7GCuYSpVKU7x6y40HdjpACIFWpcQOp6milWGp12nWG8ETz45gLlN5i6fSBT/rVqWacXFtVr1QGb6xGJD0C/Mc6rLhypxfeH8UY3oljHarXqg+He2zwx2MYzzrvJuQqAwD/BS6+loQ8XanNqtW8jlNBk70FVugVgN3MIZkmgqRi9kMtBUmSrw65obdqMHurNHb5bKrnTtPri8Uvzbw951v/5djOPOZR9DbbMAXT41WZaHgDsYw6QnnWCR4HtrlwGzGAgZkLBKX5nDfjpaSFgme9x7swNRKOCdS7IVrXErFI3vExfDMShiEcNdugFtMFbuf7Mv4ei/P+nHu9gpeH1/Brz2wLccax/PFH91AXm9tySpqNJEUfvdfeWVC9vU1P2VDq6psg/VmW2t2OM1YDScEW0YjwMRwFieHZ3HfF17Av11ewEooju9emCv5OR02PdRKsm4xvJyJH+lrMaLfaRYms9WCM5Mr2N1mgSWrwiD1ZuEraeVW1p4+NYr86/RGt2n4ZiC5vuFytozWEgGkFwOz3ohQFQaAezJpEflWicuzPnjDCTzYv7bTsKfDUlExXOyiFk3kCqxaZVlvJfjBG75wAvO+qKRfmCeeTCOeTGPgM/9WMlZpaiWcs1A/2pc578bXzrtJdwgtJm1OljIPF0lYZ5XhcmwS/BS6TbZK8Itml63w2PpbzZj3ReGPcgKdUorXbnlwbHvzunoiHCYt7EaN5GQ7nmvz3P8PtJmhVirwO48NYHQxIGo32Ci8X/hIb6EY5iPWXspErF2e9WN6JYL3iKRISHF8bxs0SgWey7rf/uTaIrY7jOiTaGD/4o9uIL/oWOy6tt1hhFalwOVZH/7qxVuwGzX4xXu6RZ8rt4p6cngWX39zWvh4ORBbV6GHX5y/92AHnBZtRRfnH7q7sAJezWb9RhzLzMRwBr5ayFcCI4lUWSe0UkHQ1WTA1Mr6bBJ8Tq7TosVgt7yIpWw2GsIeT6ZxfmpVuLHyFNu+kVNZq8Y2DW+TkCuGyzkWoTJcJFFi1hvN8RFuazGixaQtyH19+QbnqcuOs9nbYcVyIFa0QifnNZWaeCVFLbKstxLtmcEbfEPlQJt0csrJ4Vl84wx3My0nN3Z6NSJUBgFuIe0wa3Oa6Cbd4ZwxzNlwI5nrSwwv+mMwaJSi4p2nyZCZQrfJTXTzmXtCfgMdUHjTH1sOYcEfleUXzoYQgl1tZlwrKYb96GzSC4WLd+9vx552C7704xtl7S7I4fztVWiUCqHXIRuXTY9dbWbBN/z8pTnOIrFXvKIrBpdb7MDzI3NIpSn80QReH/fkpEjkI/d+8vzIPNKU4iuvTOCl0WXc22cvGN3MI7eK+vSpUcSSlSs4bHcYMbMakYycWw8XprwwqLkBUZuRLb+WKNE4vmEmhjNsxGDe3WzApHt9lWH+puQ063CoywZfJFGwzV6KYs1T5Qqqy3M+RBPpAjFcKW9lNbZpLHoVtOtoBirnWPhEgIUileG5vKaaNd+wJ2dB87ObbuxzWdCclVG6p53bQpUavSk3WH9o0IWDnVYoCcl5nfKbfsR+Vkbl4XcWfppZCBWrDMu5mUYTKSwHYuhqWhO6hBAc7bPjjSzf8IQnJPQz5OM0a+GLJHKmQm6ESkxDW/RH0WbRFW3srFVleG3ghpgYziRKLHA3/dfG+Ole8n2jPLvaLLixEJDMLAe4kbq7smwYCgXBiXcMYHolgm+cmVr39xbj3O1V7HNZJIdIvG3AiTOTK/BHE/j+yDzu39ECm6E8iwTPew92YCkQw5sTK3j5xjISKSppkQDk3U/4a2l2rviLo9JNcXL9u5Uu9OxwcpF948vr70PK5sK0Fy+NLuM3Ht6J008+vCnZ8k6zFpYGS5RgYjjDRk7oHrsBUyvhdVV0hcqwWSuMfJTrG5YS8p9+dgT//V9HyhJUfDXz7l57wf9VwltZjQYBQsi64tV+59HS44iVfCKAhGc4luRESf7F92ifHXO+KGZWufMmEE3g/NQqHtyZmxKyJxMEf3VeXAyvZ3GWSFPct6M553WqpyzrrQRfRfz30WUYNUrJRQkg79ozkxWrls09fXbMZ867QDSB5UBM1C8MrNmLKtFEV6lpaAv+aFGLBADBg+rd5MrwrDcCo0YJi76wkuiy6WHUKIWb/qu33Ohs0udU7uWyq82MSEI6ejGaSGF8OYg97bkLrLf1O7CtxYjPPXelYmOaY8kURmZ9on5hnocGHEimKf73T8cwsxrBu8tIkcjnkd2tMGiUeO7iHH5ydRFNBnXRoUxyrmti19JoQjwGFJBfAKp0oYcfHnJruTJV1T//yQ00GdT4j8d6K/L1yoFPlMif+lfPMDGcYSMndE+zEcFYcl0Vi6VADAoCNJu02OE0waRVyfYNS91Mw4l02RWnMxMr2JbZbq0G1ereb7VoZYthjVoJCsBuVBc9lmJZw7xIzj8/8n3Dp8c8SKYpHsgTw1a9Gp1NeknfsNzFGaUUE8uhAo9dtVMTGOLwleFZbwT9beaiFU85155pPlbNXrgIA7hFLd+/IOW3FEYyV0AMVyqyacEXLTke1m7gK8Ob20A3742iPas3IBuFgmBnqxmjCwGk0hSnxzy4f3vLhqIL15roxKtqNxYDSFNgV3tug953L8xhxhtBmpZntymHy7NcU+fhnsIiCc/MahgEwN/8dAwANyFRLnqNErvazPjGmSmcvDCHaCJdMMApGznXtfUUuuQUgCpdcOhrMYIQFCQcrQe+KvxrD24rakGqBjtbzbix1DiJEmX9dgghkwACAFIAkpTSI4SQzwH4NQB8yOCnKaU/qMZBbga/9fBO/O6/juQ8Vu4JzWcvTnrCOVvh5bDkj6HFpBWm5xzoLD9iiafDppfM/RUj/yKQTlOcmVzBu2Q0PawHfjZ9JXFadLgmoxGNUoq//fdx9LUY8ZPffqvk1CIAaLfpMTIj/lqsxarl3sD7nWbYDGq8OeHBBw934mc3uUlUYpWVvR0WyWOXek2lhJM7GEcglhSdmFiN3zujOM0Zm00yTbGrRJLEieMDePLZSzmiUuraIwzcaMqtPPY7zbDq1XhzYkUY9CAlhp0VHLxRiS3idJpiKVC6MqzXKKFTKzbdMzznixQtivS3mvDi9SVcnvXBH03KjlTLZ6fTDEK4RIl37CuMJ7ueaZ7bnSeGnz41WuAX5hcm633/n880z93VI57je3J4Fp85eQXZcuf3n78Gg0Yl63ueHJ7F5Vm/0BTH9+wAKBoxV873kHstlQt/DE+fGsVcpqma76lZDzq1El1NhopUhv+sBlVhnp1OE74eTmA5GBOuOfWMnMrwQ5TSQ5TSI1mP/WnmsUONLISBtZzLFpNGdgWNF8PraaJbCkSFbUsAGOy24dq8X9YgiRPHB6DJyzDVq5VC5Fc++ReB0cUA/NGkqEWi3mk1y7NJnB7z4NKsD594cFtRIQwAHZlEALGVrTBww5YrShQKgrt77UJl+Gc3l3FsW7PoJKo97VZMeEIIxZIF/3fi+EDB8RVbnPE+8z7HxkZcMyrD9y7OCTf2H1yaL1qd46tcrZnrgE2vlrz2THnC0KoUBTs4/Hn35uSKkDFczDMMVKYyLFXNlSM0VsJxJFIUbZbShQS7QbPpnuE5bxQdRarW/a1muINxoZJ53zqb53j0GiX6mo2C6M3n6rwferWywIpRjSbls7dX0G03SIqZSu0MPH1qFPFUdVJvNsMqVumYxh1O04Yrw8NTq/hpjarCQFYTXYNYJZhNAtwW3Zd/OoZ37mvD2c88KvuE7mwygJD1ZQ0vBXJXTYe6mpBMU1yeK38gw9CgS+jezRby/+O9e8u6CJzJTK/Kb55rBFotWoTiKQRFBKUY//vlcbSYtHi8jNeWTwTwiNx857xREAK0iuSi3tNnx21PGGcmVzDpCUuOPt7bYQGl4pmi7z3YAYNaIQhiu1FTdHE2nqkiiFWGGZsL76Plh9P4IsmS29VDgy68/uTDMOtUePeBdsnXeXo1jC67QXQb/p4+OybcIbw5uYI2iw56jXjDU7NJCwUBljc4yhwABloLF18qBZElNPhYtVI2CYDzDW/mFLpYMgV3MCaaJMHDZ0h/8+w0drWZK2I1G2gzi455BrjrxUCbuWCxXGnvKqUU5257caSIX7hSAryaQyEa0Sq23WHEuDu0rtxovqH18b95jbNgymxmrBR80kqjNNGVK4YpgB8RQs4RQj6R9fhvEEJGCCH/hxAi+o4hhHyCEHKWEHJ2eXlZ7Ck15+lMWPmT79y9rs/XqZVot+g2IIbXLp78WMkLMn3DaiUXm5It5PODvAHgtx/tL7gIvDmxgnarDp1NjZcwsDZ4o/SN/cqcDy/fWMbH7++V7IzOhg/ZF2uim/WG4TBpRUPb7+njtkn5qsYD/eIjtvkmOjHf8JsTKwjEUvj84/sAAL9yf2/Ri/eEOwSNSsFSIuqA9VbLCCHY0148f3p6JYIuifcpv5h95ZYbvRKxagDXHGo3bjxe7dKMDy/fdOO+7XZBaBg0SiTTtOSuSzb8e7eUTQLgFoUrm2iT4IV6vh0qm4nMQjQQTWJ6NVyRgTa72iyY9IQQjucu8imluDYfwO72QutNpSug0ysRuIMx3FVEDFdKgFd7KEQ1B+xUgx1OE+LJNGZX5S0G8gdKpQ0r22UAACAASURBVCnwue9drcmQJYdZC6te3TDxauWK4fsppXcBeCeA/0oIeRDAlwFsB3AIwDyAPxH7RErp31FKj1BKjzgc4qKglozMePGv52fw8bf0ort5/R3A3c0G2SOZk6k0PMFcMewwa9HZpMfw9Kqsr3VjMYCdIvFN/EXgjU8/DJWCFOTaUkrx5sQK7u61b6jpo1bIGbzxdy+Pw6hR4qP39JT1tfkmKLEmujlvVPJCfXPRDwJO0CoJwYiEB7zdqkOTQS0ar/b8yBz0aiXee7ADnU16yWYannF3CL3NBlkihFEdNlLl2tthxfUFv2RFiK8MizG2FAABQCkwMuMregPc6EjmZCqNJ54dQbNJiy9/9IggNC589jEc7bXjU9++iL944UZZkWsLMsSwzbC5leE5iUZZnpPDs3jq364LH4di5eXTl2KgzQxKC7eYF/xR+CKJAr8wsFYB5UdaW4vYbUpxcngW7//rVwAAf/HCzYrFkEnBUm9yWUuUkL7ui0Uafv4H1ypiW6kEXKKEqWEGb5Qlhimlc5m/lwB8B8BRSukipTRFKU0D+HsAR6t3mNWBUorff/4qWkwa/MZDOzb0tXqbjZJROFJ4QnGkKeDIuwkMdjfJqgyn0hQ3l4KiW5Y8rRYdju9tw7fOzuSEeU+thLEUiDWkRQJYu4GWmqg1vRLG8yPz+PDRblglvNT58FujCyKDN+a8EbhEKnQnh2fxe1kNJSlaOOqZhxAiOokumUrjh5cX8PBuJwwaFXaJjHzNZ3w5KNkwxdhcNlLl2tthQTSRFmwv2fjCCQSiyYLmOaDwvAvHi4syp2VjleF/fHUSV+b8+J/v2wurfu39pFEp8OWP3gW9Wokv/fhmWZFri/4YCEFZ9gK7QV1Rz3CpjGQ+Y7hdwsLB7QJU3uu6W2Is87VMFKOYGAbWih9KBcFH7+1etxB+8tlLWA1zqR1LRSaqVcqC0IhWhmrCi+GxJfECm1ik4Se/eUHyPV2rIUs7W824sRhsiESJkmKYEGIkhJj5fwN4DMBlQkh29MDjAC5X5xArj3ABfPIHODO5iod2OWHWlSeQpOhuNsAdjJftXQXWBFxr3k3gUJcNc75o2Y1htz0hxJPpkiNfP3JvN3yRRE5kDd/o1ehiWOp3xb/WD/zxS0ilqaiAlaLZqIFGqSioDFNKMZs3cINH7hb53g4rRhcDSGQ1j7w+vgJPKI73ZPI6+1vNGF8OSU6WSqbSmFoJo6+FNc/VAxupcu11SVtnhCQJ+8bPO6dZW3T6YTGmV8L40o9v4JHdTrxTJO2g2aQVbRiVOp5FXxQtJi3UytK1mSajBv5oMuf9sl7KyUheS40Rv25Uy+va1WSAQaMUxi7zZI9hlkKpIGg1azFfZHpmMeSeS5WyIDSalaGaNBk1aDZqcEvCYiD2GlEAUpu7tbLP9TtN8EUSFUmuqTblVIZbAbxCCLkI4E0A36eU/hDAHxNCLhFCRgA8BOCTVTzOipHvqQGA5y/ObXhbq8fOVeXkWCX4m5GzoDLM+YbLzRu+kdlKKyWGj21rxnaHEf/8+m3hsTMTK2gyqLGjQVMITFoVjBolFkUqw2Kv9R//cLTs11qhIGizFg7e8ITiiCXToh3mcm+Oe9otiCfTGMuqBD4/MgejRom3DTgBcDe+ZJrmPCebWW8EiRTFNgerDNcDG6lybXeYoFEpcEWkgXY6s/PUKVIZlnveOcxauINxWQ063MLyBTzwxy8hmkjh/h3SebpSNz+x41nITJ8rB7sweGPjWcPliL45XxR2o0ayx6BaXleFghtaMLqQL4ZzxzBL0WbVie5olUM1m9kY5bPdaZK85kvnzaOu7Ca8dfNGAyRKlBTDlNJxSunBzJ+9lNI/zDz+S5TS/ZTSA5TS91FK56t/uBtH/AIoPY2mXIR4NRlNdGujmHMrw3vaLVArSdm+YX4LfWcRmwTAbcv/0r09uDjjE/Jzz0yu4EivHYoG9pq2WnRYFKlyVSL2p92qE7ZKeYpVi+TeHPd25I5lTqTS+OGVBTyyp1W4AfNjV6WsEvzYTpYkUT+st8qlViqwq80sWhnmbVhinmG5553TrEMqTcvO7F1bWHLvM4riC0s5x7NYxvQ5niZD5abQlSP6uNxY6WOrptd1d7sZ1xf8OVvM+WOYpWi36dddGa52MxujPLY7TLi1LG4xkHot+IV3vdhNxjKe54/+wxsVmYhYTbZctFq1Vr3ZgzfKhbdJtOQN6tCpldjTYS3bNzy6GECXXQ+DpnSW4AcOd0KvVuKfX7+NJX8Uk54w7mlQiwSP06IVxlpnU4nXusOmF5po8j9f7IIk9+bY12KEVqUQxM+rt9zwhhN4z4GOnOeoFESyiW6czxhmYviOYG/GR55/E5xeDcOqV+d4dHnknndC1nAJrz2P3IWlnONZ8EfRJhJRKAZfGa6Eb7gc0TfvjRaNVaum13Wg1YzV8NoWs9QYZjHaLdwifj1ezRPHB6BWlp9xzqgOO5wmeMMJ0XO92GtUL3aTk8OzeOoHa82llZiIWE22nBiu1qrXrFPDbtTIGryxFOC24MT8dYNdNozM+MoabXlzMYCBEhYJHotOjaFBF757YQ4/vrYIAA05bCObVotO1CZRide6zcoN9cjeTuarY2JRdHJvjiqlArvaLUJl+PmReZi1KjzYv5ZNrFEpsN1hKtgy5ZlwB2HVqwWhwGhs9nRY4YskCqZmTa9ERP3CgPzzbm0kc3nVQ7kLS/549Gru2iZ1PNFECt5womybBF8ZrsQUuhPHB6AqMdhmzhcpOnADqJ7XlR+3fC3zvr+5GBQdwyxGm1WHaCINX0S+nWRo0IXBLhsUBHVRXdyqbM/Y3sR8w0ODLuzvsNb1a1St5tJqsfljSWrMieMDeOJfRxDNakaq1Kq3p9kgK2s4P2M4m8FuG/7ptUncWAwKebRixJNpjC+H8Mju1rK/70fv7cbX35zCZ05yPY+//rVz+N3ju+rqjSQHvhmIUprjYTxxfAC/+8xIzmQjua91h1WHZJrCHYwJW7mzqxEYNErRCh0gf/zxnnYLvj8yh1gyhVNXFvDo3taC/OKBNjPO3Ra3zYwvhzLz7BvX6sJYY29W/nS2P3h6NVx00SvnvJM7ktmsU8EfLWwOLrawHBp0YSrTbPfj335QdOdKTsYwkF0Z3rhneGjQhX9+fRLDUz6kKIVKQfD5x/cJv8NAlEvvqJU9gB/jPbrgx1v7HSWTJLLhj3nOG4VtHUMX/NEkHux34J8+3nAhUXcMO5yZRInlEO7ZljviO52mmFwJY+iQC1/6+UO1OLySNJr3fMtVhocGXfjIPd0AKr+i6rHLFMP+qGSckDtzk3rXX/ysqNdmwh1CMk1LNs9lc3MxCEIgjIud80brevuiFK0WrgqSf7MeGnThgUyFdb2vNb9FWugj1FdMfO7tsMAfTeKbZ6YRiCbx3iyLBM9Amxmz3ggC0UIRMOEOMb/wHcTuNgsUJDdRIp2mmFmNSGYMy4XP5y4nXu3SjA/BWBL5bQXlLCz5KVRSXfF8k1e5YtiWiUWsRGUYANRKJQa7bXj6gweQTNOc3y/vuW2vkRi2GTRos+iEsczXFsTHMIvBT/Nb8MsXHtFECjeXgtjXYZX9uYzK0WHVQ69Wir53rs77sRKKC/e3eqTRvOdbTgwDgF6jglJBcPV/vaOi21rdzUbM+SKIJVOlnwzuRiR2Ezg5PIsv/mhtK6GY14ZvqpIjhp8+NYp8K1k9b1+UwilkDRdu+a6E4jjc07TuLcz2TPNMdmf2nC9S0Tc0X/n/ixduwapX4/4dhRe4AaErN9cqEY4nMe+LsiSJOwi9Rom+FiOuZiVKLAdjiCfTktPn5KJTK2HWqUpWhkOxJP7bN4bRatHhD4b2yfbG8tclKYsPP3CjnFHM/HEbNMqKZQ0v+KNoterwrv3tMGqU+NbZaeH/hN6AMo+tGgy0mQWbxLV58THMYvC5yOtporu+EEAqTbHPVboCzageCgXBNodRNFHi5ZvcNF+xe0W90GiDVLakGL4448VAqxl6TemRvHLobTaAUmCmjBGK6TTFsoRNQo7X5sZiAMrMm6ZcGm37ohR8TnO+bzgYS2Jkxod7t63fE93BV4azxbBExvB6uZWJnXEHY0ik0vjBpcJglgFhyzT3wjghNM81ZjQeQ5y9HdacyjCfJNFZocowwPmGS3mGP/fcFUx6QvjTnz+EX7ynR7Y3tqfZCI1KITmSVchaL7MyDHC+4UpMoaOUYt4XQbtFB6NWhfcc6MDzI/MIZbLiS02f2wx2tZsxthREIpXG9QXxMcxiOM06KBVEdJR8KS7PcouwfS5WGa41O5wm0crwz264sbvdItid6pFGG6Sy5TzDlFJcnPbi3QfaSz9ZJnyixG1PSJggI8VqOI5kmoqKYTlidXQhgJ5mg2QOphgdNn1Bcw7/eCMiNXjjzOQKUmmKY9vWv3q2GdTQqRWYz/y+ookU3ME4XEXiluRwcngW/+O5K8LH/OQwADkXDZdND6NGidG8iVQTLEnijmRvhwXPXZzDSigOu1EjZAyXs0VeLlIjmU8Oz+LpU6PCNeKxPU7cm+dZLBelghRt/lzwR6FXK2HRlX8rshs1WKmATcIfSSKaSAtV6Q/d3Ylvnp3G9y/N40NHujDvi0BBCqMvN5PdbRbEU2mcHvPAGxYfwyyGUkHgXOfgjcuzPtgM6oou+BnrY7vDhO9emEM4nhQ89+F4Emdvr+BX7u+r8dGVRm7/TC3ZcpXhSU8Y/mgSBzttFf/aPc384I3SvmEhY1ikIiLHa8ONYS7fIgE03vZFKXj/Y37W8OvjHqiVBId7mtb9tQkhaLeuZXaWmkgll3IjqxQKgv42c0G82sQyE8N3Inszfk0+ZWR6hTvvKilQnGZdgWdYbFDNyzfdG+onGGg14aZERjYXq6aT5b9vMlamMjyf8dPyYviu7iZscxjx7YxVYtYbQatFB1UZk/GqBb8j9J3M779cMQxkBm+swzN8ec6HfR1W1pBbB/BNdHyWPAC8Mb6CRIriLTvr1yLRiGw5MXxxmsvuPdhVeTHcbNTAqFHKE8MiVYdyxWo0kcKkJyTLLww03vZFKQwaFcw6VUFm6utjHhzqsm3YDtNu1QkjmSu9dSpnF2BXmxk3FgM52aHj7hA6rLqKW34YtWUtUYLbsp5eDaPVopW1A1QKh1mLJX8s53wSW5xFNziUaGerGXO+qGjz56IvilaLvMqr3aCuSGVYaJDLiOH/v717jW3rPO8A/n+oG3WhrtbVt1iJ5TRObCd17RTpsjVpmzRtk3RAu64bFmwDun4o1m5ougTDiu1DhixGd0GLAgm2ddlWJO3QTrm2bpDmvsSxG1m2kliWIju2KEq0LIukJF5E8t0HnkNRFEXxkIfkEc//BwiSyONzDh/QRy/f87zPIyL48sHtOH7+CiYuLcAzHyr73bKrO5tQ7RAcfXcaQPY2zOn6WuoNp0lEonGMTgeSbcGpvPQ7zKl5w6+OXUJdtWPTl0S1GvsNhifn4axxYHeX+TmWIoIdHY05tWTWF3tlyvlJHazqHrxrz5rB6rh3AUoZWzyXegwrFOY2S6LW8MqFPxBaxmm3L+/bu6l6U/6o6INUs2bojNwFGEgrwg8kBsO7uHiu4rQ11qKvxZnMG744t4TtGdowF6LLVYfgcgwL4ZUqLMVYT7AnS0tWI62YdW2NtZg3obTajE9fvLfyf+13b9yKKofgf34zmcgnLuPiOWClxvhSJJZTG+ZUPS1OeHwhQ403zs4EsBxTuIH5wpZw1ZYGOAT4ICVv+LWxWRza1W7qB2Oy42D44jxu2NpStFtfV3U04MM5I2kSmWdF9MHq0W/dCgBwyNrz1SsL7Onh4qnu5rpVg+Hj5+cQV8DHTRgM97U64Q2EEI3F4Z4PQiT31e8bMZKyos8K6akSSimcu7SAfi6eq0jX9bUkZ4bNLKum0689qR+u1ntfFzJDqn9YT0+VUErB6w+j2+D/pfaGWgTCUUSiGzckysbjC0HScoK7mp345J5O/Ow3k5jyhSyRN9tYl7g+TF4JGmpp29viRHA5Bn9wbX3o9SQXz7GsmiXUVSdK6Y1rM8NT80GMexdw6+7OMp9Z5bHVYHg5Fse7U37sK0K+sG5HRwMm54KrOpZl4vWH0Oys3vDT3UB3E/q3NOKXI9NrnhudCaCmSpK5ynbW7Vrdhe6tiTnUVjlwUwH5wrrelnrEVeIDjHs+iG6XEzUmfZgykrKSXl5tbjECfyjKfOEKtbevGROzi/AFl+HxBU0rq6bT70ql5g3v6V77warQ9QTb2hL1UkfTBsNzixFEYvG8ZoYBYL7AVIlpXwhbmurW/F/e3t4AbyBRyu7J4xfKWn99cMiNU5MrJfaMtLRN1kj35T6rPzLlg6uu2tSFmlSYa7qa8IE3cbf59bFZALB0feHNylbVJEanAwhH40XJF9btbG9EJBaHxxdc1T0qnTcQzrh4Lp2I4M7re/DoqxO4shhJ/iEAEs0zru5sMm1gtpl1NTtXdaF784PLOLCj1ZRbSXqtYY8vqDXcMPfWaa4rbjua6rClqS45MzyhV5JgmkRF2tvXDKWAX5+ZQVzB9JnhlZbMicHw6HQAr41fxsf723FhLphsLnP/HWtTtIxwOAS7u5swlpYmMW2w+5wu2YVuKZLTNXQ90/7QmjSIwSE3nnj7QvJ3XzCasbpLqRw5Oopo2sSKvsB2o/NJNt7whXJeeDfi9mPv1mY4cqhlTKVxdWcTXj07i2gsjtfGZ9HpqjO8aJ42ZqtRlP4Je/+24t0Cukorr3Zhg0V02Voxp/vs9b2IxRVeeH9m1eOj04G88oUrUXdzHZZjCleWluELLuPdKXPyhYGVBTZT86FEjWGTczeNuLbHlSxTpVeSuJppEhVpr5a3qd8VMj1NwrWSJqGUwnefGoHLWY0f/sFHTV9PsLvLtaZhjNFWzLq2Br0lc+Ezw+mz0keOjiKUY433Uigkh9to441oLI73PX6mSFjM1V1NiMTiuDC3hNfHLuG3dm9hpY8isNVgePjiPFobaop6C2iHXmt4g7xhbyCU82D4+q3N2NZWvypVYiEchXs+mGx3aneptYaPnzMvXxhY3ZJ5yhcyfWbYiIFuF8a8iQ5RE7OLqKkSbDX59jlZQ1+LE60NNXjlbKLblNmD4Zb6GtRWO+ANhPD08BSOnZvDd+64dtXdJ7MMdDfBGwivSm3Q05qM5t+3NWotmQtcROfxBdcc22oNiQppadvlqoNDEq8zF+OXFhCOxtlsw2L0ihJPnZzClaVl5gsXib0Gw5Pz2Lettaifqnpb6lFTJTifpaKEvnAk11t8IoI79/bg9bHZZHmisTzaMFcyvTzTjD+EtyYuo7bagRt3mJMO0+ysRmNtFU67fYhE42VdVHNtjwuh5cQswcSlBezsaMypPSttPiKCvX3NCC3HUVMlhnNrN/LUySnEYgqPvjKBv/jJSWxvq8fvfWy7qcfQDfSsrSgxnWEBWy7aG1bSJPK1FInCH4quGQwXMvgshkJqwldXOdDlcuY8MzziTlQuYRtma7lGGwz/+FgifcfKLZg3M9sMhpciUZydCeBAEVMkgETnn+3tDVnTJPyhKMLRuKE/Ap+9oQeRWBy/PuMFkFpJgoNhIGUxkD+MNycu4yaT8oUBrfFGaz1OnL8CYKVFczmstGX249zsIvq5eK6i1WrrAZZjCrc+8pJpi7n05hoxreyWvkD0meEpU/afbiBt8SeQ+ODa0bh2AdtGWrXBcCGNN6bTagzrrNaQqNCa8D0tzuRr3ciI24eG2iq2dreYl0a9cAgwuxBGtUPwxvhsuU+pItlmAd27U37EFYpaSUK3s70ha+MNvcZwp4HB8I3b29DdXIdfnJ7GPQe2YnR6Ac4ah+m1RzcrvUzU6EwA73n8+Obtu03df2+LE695Exehchbi393dBBHgPU8AH15ewm0f6SrbuVBxDQ658XrKHz69kgBQ+GKuTM01wtF4Tguz8tHX4kRTXfWqwXCi+5zxVse11Q646qoLyhnWB4jp+cr6az9ydNS0BYSFKqSlbV+rc03XyvWMuH24rreZd5osRP/Qqq+hjMZVWRd0VjLbDIb1znP7thc/H2pnRyPePjeXrGyQTl+9bWThiMMhuGNvD3564iKWIlGMeQPY3eXiql9NXXUVWhtq8NwpD5SJ+cK61NngcuboNtQmyh69dMaLSCzOmeEKduToKJZj+VUS2Eipc2NFEhUlVg2GfSFsy/P/UltjLa4UkCahV7LozXCXp5DBp9X0NNfj5dFL6/4t0sXiCu95/PjyweKkyVB+Mn1oNesaQKvldH9KRM6LyGkROSkiJ7TH2kXkBREZ074XXtC1iIYnfehrcWbs+GY2fzCCxUgM/Q8+n7FIujegd58zNity5/U9CC3H8croJYxOB7Cbi+dW6XY5Me0Poa7agQMm5Qvr9NzCprpqNDvL+xlyT7cLp7Xi+P2dfA9UqmIOWMuRGzvQ5VqVMzzjDxmuJKFra6wtaGZYz6M1Ow/banpbnFiKxOAPZW+8cW52EUuRGBfPWYzVFnRWMiPJWp9USh1QSh3Ufn8AwItKqd0AXtR+t6zhi/NFrS+sGxxy49lTiaoPCpmLpHv9evc5YxfiQ1e1o72xFk8cvwhvIMxagykGh9yrFi3+4vTaJiWF0CtI9LU6y17WJjVPnA03KlcxB6zlyI0d6HFhbjGC2YUwQssxXFlaznsw3N5Qg/ml/KtJTPtCaKmvQX1tZbe0Ta2Rnk2y8xwXz1mK1RZ0VrJCFtDdA+Bx7efHAdxb+OkUx5XFCC7MLZUkX/jI0VFEYtnrVHoDYTTUVqGpztgMY3WVAwNdTXhVK7X02KsTZe2OZBV6XlVYa88ajsZz7tKUq3Nag4uzMwuGWqIWgz+4Mgi45wev8z1QoYo5YC10YVY+9DKQZ2cCyQmBfGdmC50ZztRwoxLlWmt4xO1DXbUjWbmArMFqCzorWa6jMQXgVyKiADyqlHoMQLdSygMASimPiGRcySMiXwPwNQDYsWOHCads3PBkIl94fwnyhXO5rWGk4UaqwSE33rkwn/z98mKEyfQofl7V4JAbP3rjfPJ3Mxcy5XMuTx6/mHIuIb4HKlSxF3OVOjc2WVFiOoBqR2IepjvPAWl7Q4E5w76Q4frGm1GPlhO9UUWJkSkfPtLbjGp2M7UUKy7orFS5DoZvUUpNaQPeF0TkTK4H0AbOjwHAwYMH1QabF8WpSR9EgBtKkA/V11oPd4YBceptDa8/lFfucrZZZzv/5yh2XtWRo6PJWWddueJupXOh4qukxVxdrjq01NfgrHcBHU2JyYBCZoaXIjGElmN5lVD0+ELY21f5KQFdrjqIAJ4s18J4XOFdtx/33NhXwjOjXFXSNcDKcvoYqJSa0r57AfwvgEMAZkSkFwC0795inWShhi/O4+rOJricNUU/Vi63NbyBMDqbjc8MM5k+s2LnVVkp7lY6FyIjRAQD3U04Ox1ItmLOezCs1xrOY3Y4Eo3j8mLYFjPDNVUOdLnqsqZJXJhbQiAcZRtmsrUNB8Mi0igiLv1nAJ8BMALgaQD3aZvdB+CpYp1kvgaH3Ljl4Rfx4hkv3FeCJcmt1HPx9AVXddWONbl4Xn8I3XnMDDOZPrNi51VZKe5WOhciowa6XTg7E8C0LwRnjQPN9flVZmnXWjLnkzfsDYSg1NqGG5Wqp6U+WUou3eCQG1/84RsAgO+9cJbrD8i2cpkZ7gbwuogMA3gbwHNKqV8CeBjAp0VkDMCntd8tQ19U5Z5PXASCyzHTF1Wt594bt+L/Hrgdf/bb/YjFFW4dWOklvhiOYjESSzaJMILJ9JkVezGQleJupXMhMmqg2wV/KIpTkz70NOdfmSU5M7xovKLEeg03KlVvc+aWzPrfyCtaVY5LgXDJ/kYSWc2GH8uVUhMA9md4/DKA24txUmawQrHqL+zrw6OvTOCXI9P46uHE4kG94UY+C+iYTL++YuZVWSnuVjoXIqP02ujvXLiCj+7MvzR9e2NiMDyXR5pEtoYblai31YnXxtY23rDC30giq6jYDnRWyK3c29eM/s5GPD3sXhkM+/WGG/nNSjCZvjysFHcrnQuREXpt9GhcFZSz29aozwznMRjWG27YJE2it8WJxUgMgXAUzSnrZqzwN5LIKiq2jooVcitFBF/Y14dj5+aSC0aSM8N5pEkQEW1mHU116NAGsoWkKbTW558z7PGFUF9TVfZOkqWyXnk1K/yNJLKKih0MWyW38u4DfVAKePaUBwCSg+J80iSIiDazwSE3AuFEa+CfHL+Qd37qs6c8EAH+5cUxw01wpn2Jhhvl7iRZKn3aDHj6jO/9d+yBIy0EXH9AdlWxg+FydFjK5OrOJuzta8Yzw1MAEosUaqsdaKkvfpk3IiKr0BdsRbQ62b5gNK8FW/p+lFa1PlPL+2ym/fZouKHTX2v6zPDN/R2IK8DlrC7r30giK6jo+0RWya38wv4+PPyLM7hweSnZfc4usxJERIB5C7YK3c+0L4TDu9pzPt5m193sTDTeSBsMPz2c+PDwzDc+gau2NJbj1Igso2Jnhq3k8/t6AQDPnJqCNxBiigQR2Y5ZC7YK2U88rjBjs5nhmioHOpvq4PGtjs/g0BT2b2/lQJgIHAyXxLa2Bnx0ZxueGZ6C1x/Ou5IEEdFmZdaCrUL2M7sYRjSubNNwQ9fbsrrW8NhMAO95/LhnP1swEwEcDJfM3fv7cGY6gInZRVaSICLbMWtRcyH7sVvDDV1Pi3NVzvBTJ6fgEODz+3vLeFZE1sHBcIncdUPiohOLK/znmx8aXgFNRLSZmbWoOXU/QOaW9+vRZ0ft0nBD19tSn3ztSik8NezGLdds4V1KIk1FL6CzkjfGZ+EQIJ62AhqAJRb5EREVm1mLmvX9/M3gCH72ziQ+ty+3GU69tKWdcoaBRJrEQjiKQGgZZ2cCIfSh0gAACbdJREFUuDgXxLduHyj3aRFZBmeGS+TI0dHkQFinr4AmIiLjDve3YykSw4jbl9P2Hl8INVWSbPxhF6nl1QaHpuCsceCO63vKfFZE1sHBcImw9SURkbkOaSXSjp2by2n7aV8IXS4nHOndJiqcvrjwwtwSnjvtwac+0o2mOt4YJtJxMFwibH1JRGSuLpcT/Z2NODZxOaft9e5zdtOjLRj86YmLmFuM4N4DTM0jSsXBcIlYpT00EVElObyrAyfOX0EsPQ8tg2l/CN02HAzrjTd+9d4MWhtqcOtAZ7lPichSOBguEau0hyYiqiQ397cjEI7ivSl/1u2UUvD4gui1WVk1AHj+tAcCQCkgEo3j+dOecp8SkaUwaaiErNIemoioUhze1QEAOHbuMm7Y1rLudv5gFKHluO0qSQwOufHgz08nF3AvRWKsZESUhjPDRES0afW0OLGzowFvTWRfROfxB5Pb28mRo6MILsdWPcZKRkSrcTBMRESb2uFd7Th+fg7xLHnDKw037DUYZiUjoo1xMExERJva4V0d8AWXMToTWHebGZ/ecMNeFXxYyYhoYzkPhkWkSkSGRORZ7ff/EJFzInJS+zpQvNMkIiLK7HC/Vm84S4k1jy8EEaDLVVeq07IEVjIi2piRmeFvAng/7bH7lVIHtK+TJp4XERFRTra1NWBra33W5hvTvhC2NNWhpspeN0RZyYhoYzlVkxCRbQA+B+AhAH9Z1DMiIiIy6HB/O14ZvQSlFETWdpib9tuz4QbASkZEG8n1I/I/A/gOgHja4w+JyCkR+ScRyXjvSUS+JiInROTEpUuXCjlXIiKijG7e1YHLixGMexfWPDc45MYb47M4NenDLQ//GoND7jKcIRFZ1YaDYRH5PACvUuo3aU89COBaAB8D0A7grzL9e6XUY0qpg0qpg52d7HpDRETm0/OG30pLldDr7Ea1ShPu+SAe/PlpDoiJKCmXmeFbANwtIucBPAngNhH5b6WURyWEAfwIwKEinicREdG6drQ3oKfZuWYR3SNHz7DOLhFltWHOsFLqQSRmgSEivwPg20qpPxSRXqWURxLJWfcCGCnqmRIREa1DRNDX6sTzpz3Y9cBz6Gutx1cObcfUfCjj9qyzS0S6Qtox/1hEOgEIgJMAvm7OKRERERkzOOTGabcv2XbYPR/E9351FgIgUysO1tklIp2hwbBS6mUAL2s/31aE8yEiIjLsyNFRLMfWDnub66sRiapVqRKss0tEqexVcJGIiCrSemkP/mCUdXaJKKtC0iSIiIgsoa+1Hu4MA+K+1nrW2SWirDgzTEREmx7bDhNRvjgzTEREm54+83vk6Cim5oPoa63H/Xfs4YwwEW2Ig2EiIqoITIcgonwwTYKIiIiIbIuDYSIiIiKyLQ6GiYiIiMi2RKlMvXmKdDCRSwA+LOIhtgCYLeL+KwljZQzjZRxjZhxjZgzjZQzjZRxjZpyVYrZTKdW50UYlHQwXm4icUEodLPd5bAaMlTGMl3GMmXGMmTGMlzGMl3GMmXGbMWZMkyAiIiIi2+JgmIiIiIhsq9IGw4+V+wQ2EcbKGMbLOMbMOMbMGMbLGMbLOMbMuE0Xs4rKGSYiIiIiMqLSZoaJiIiIiHLGwTARERER2VZZB8Misl1EXhKR90XkXRH5pvZ4u4i8ICJj2vc27fFrReRNEQmLyLfT9vXvIuIVkZENjnmniIyKyLiIPJDy+De0x5SIbCnG6y2ElWKV8vz3RWTBzNdpFivFS0ReE5GT2teUiAwW4zUXqkwxy7jdese0GrNitt5+1jnmpryGAdaKV8rzFX8dM+n9ZavrmMGY8TqWeNwpIm+LyLC2n7/Lcsz7tP2Oich9KY8/JCIXS/5/UilVti8AvQBu0n52ATgL4DoAjwB4QHv8AQD/oP3cBeBjAB4C8O20fd0K4CYAI1mOVwXgAwD9AGoBDAO4TnvuRgBXATgPYEs542L1WGnPHwTwXwAWyh2bzRCvlO1+BuCPyh0fK8Qs23brHdNqX2bFbL39GHmfweLXMKvFS3veFtcxs+KVsl3FX8dyjZn2PK9jiccFQJP2cw2AYwBuznC8dgAT2vc27ec27bmbtfMp6f/Jss4MK6U8Sql3tJ8DAN4HsBXAPQAe1zZ7HMC92jZepdRxAMsZ9vUqgLkNDnkIwLhSakIpFQHwpHYsKKWGlFLnC35RRWKlWIlIFYAjAL5T6OsqFivFSyciLgC3AbDkjEoZYpZtu4zHtBqzYpZlP+k27TUMsFa87HQdMyNeOrtcxwzEjNexlf0opZQ+o1ujfWWq0nAHgBeUUnNKqSsAXgBwp7aPt5RSHjNfXy4skzMsIlchMbNxDEC3Hgzte5dJh9kK4GLK75NY581tZRaI1TcAPF2ON2w+LBAv3RcBvKiU8pt0zKIpUcyyKccxC2JWzNL2k64irmGAJeJly+uYCe8v213HNohZNra7jolIlYicBOBFYsC7Ka5jlhgMi0gTErddvlXk/2CS4bFNVVuu3LESkT4AXwLw/SIe2zTljlfa778P4IkinoMpShizimFWzHLYz6a/hgHlj5ddr2Mmvb9sdR2z0/XQjNeqlIoppQ4A2AbgkIhcn+lQmf5pPsczS9kHwyJSg0Twf6yU+rn28IyI9GrP9yLxCSOffW9PSfj/OhKfPranbLINwFT+Z19aFonVjQCuATAuIucBNIjIeF4vqMgsEi99+w4kbkE+l8/xSqXEMcvGlGOWglkxy7SfSruGAZaJl+2uY2a8v+x2HcsxZtnY7jqmU0rNA3gZwJ0icjglZnfDgtex6nIeXEQEwL8BeF8p9Y8pTz0N4D4AD2vfn8pn/0qpiwAOpByvGsBuEdkFwA3gKwC+mt/Zl5ZVYqWUehdAT8p2C0qpa/I5ZjFZJV4p/+RLAJ5VSoXyOV4plDpmGzDlmMVmVszW208lXcMA68TLbtcxE99ftrmO5RqzDdjtOtYJYFkpNS8i9QA+hcSiu2NY/T5rB/D3slJd4zMAHjTr9eRFlXcF4yeQmBo/BeCk9nUXgA4ALwIY0763a9v3IPGJwg9gXvu5WXvuCQAeJBK6JwH86TrHvAuJlZIfAPjrlMf/XPt3USQ+ofxrOWNj5VilbWPVVdiWihe0T8jljosFY5Zxu/WOabUvs2K23n6MvM9g8WuY1eKVtk1FX8fMihdsdB0zGDNexxIx2wdgSNvPCIDvZjnmnwAY177+OOXxR7T9xbXvf1uKGLAdMxERERHZVtlzhomIiIiIyoWDYSIiIiKyLQ6GiYiIiMi2OBgmIiIiItviYJiIiIiIbIuDYSIiIiKyLQ6GiYiIiMi2/h91YuU5j87e5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bikes_weeks = bikes.resample(\"W\").mean()\n",
    "plt.figure(figsize=(12, 3))\n",
    "plt.plot(bikes_weeks.humidity, \"-o\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parsing custom date formats\n",
    "\n",
    "When you loaded the bikes dataset, Pandas automatically detected the format of the dates for you.\n",
    "This might often \"just work\" but there often will be cases where you need to be careful about parsing and might have to do it yourself.\n",
    "\n",
    "Load the data `NZAlcoholConsumption` and have a look at it without specifying a column to parse for dates. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>DATE</th>\n",
       "      <th>TotalBeer</th>\n",
       "      <th>TotalSpirits</th>\n",
       "      <th>TotalWine</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2004Q3</td>\n",
       "      <td>3.135</td>\n",
       "      <td>1.746</td>\n",
       "      <td>2.318</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2000Q1</td>\n",
       "      <td>2.957</td>\n",
       "      <td>1.097</td>\n",
       "      <td>1.486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2006Q1</td>\n",
       "      <td>3.027</td>\n",
       "      <td>1.443</td>\n",
       "      <td>2.141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2000Q3</td>\n",
       "      <td>2.798</td>\n",
       "      <td>1.496</td>\n",
       "      <td>1.844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2011Q3</td>\n",
       "      <td>2.865</td>\n",
       "      <td>2.482</td>\n",
       "      <td>2.704</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     DATE  TotalBeer  TotalSpirits  TotalWine\n",
       "0  2004Q3      3.135         1.746      2.318\n",
       "1  2000Q1      2.957         1.097      1.486\n",
       "2  2006Q1      3.027         1.443      2.141\n",
       "3  2000Q3      2.798         1.496      1.844\n",
       "4  2011Q3      2.865         2.482      2.704"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alcohol_consumption = pd.read_csv('data/NZAlcoholConsumption.csv')\n",
    "alcohol_consumption.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This dataset contains data aggregated by quarters, the timestamp is formatted in a string where the first 4 characters represent the year and the last two the quarter. \n",
    "To transform the timestamps in dates that pandas can directly use, you can write a parser function. \n",
    "\n",
    "\n",
    "### Exercise: parsing quarter\n",
    "Write a function `parse_quarter` that takes a string of the form `YYYYQN` and convert it to `pandas.Timestamp` object. Use the following conversion for the quarters:\n",
    "\n",
    "* Q1 --> mar 31\n",
    "* Q2 --> jun 30\n",
    "* Q3 --> sep 20\n",
    "* Q4 --> dec 31"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2000-09-20 00:00:00\n"
     ]
    }
   ],
   "source": [
    "import re\n",
    "# Check that it works!\n",
    "def parse_quarter(string):\n",
    "    \n",
    "    quarter = string[-2:]\n",
    "    year = int(string[:-2])\n",
    "    \n",
    "    if quarter == \"Q1\":\n",
    "        month, day = 3, 21\n",
    "    elif quarter == \"Q2\":\n",
    "        month, day = 6, 21\n",
    "    elif quarter == \"Q3\":\n",
    "        month, day = 9, 20\n",
    "    else:\n",
    "        month, day = 12, 31\n",
    "        \n",
    "    date = pd.Timestamp(year, month, day)\n",
    "    \n",
    "    return date\n",
    "\n",
    "print(parse_quarter(\"2000Q3\")) # should show 2000-09-20 00:00:00"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Giving the parser to pandas\n",
    "\n",
    "Pandas can parse dates using a custom made parser such as the one you just defined. For this just specify your function in the `date_parser` option."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TotalBeer</th>\n",
       "      <th>TotalSpirits</th>\n",
       "      <th>TotalWine</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-03-21</th>\n",
       "      <td>2.957</td>\n",
       "      <td>1.097</td>\n",
       "      <td>1.486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-06-21</th>\n",
       "      <td>2.823</td>\n",
       "      <td>1.309</td>\n",
       "      <td>1.915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-09-20</th>\n",
       "      <td>2.798</td>\n",
       "      <td>1.496</td>\n",
       "      <td>1.844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-12-31</th>\n",
       "      <td>3.997</td>\n",
       "      <td>1.810</td>\n",
       "      <td>2.808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2001-03-21</th>\n",
       "      <td>3.037</td>\n",
       "      <td>1.240</td>\n",
       "      <td>1.287</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            TotalBeer  TotalSpirits  TotalWine\n",
       "DATE                                          \n",
       "2000-03-21      2.957         1.097      1.486\n",
       "2000-06-21      2.823         1.309      1.915\n",
       "2000-09-20      2.798         1.496      1.844\n",
       "2000-12-31      3.997         1.810      2.808\n",
       "2001-03-21      3.037         1.240      1.287"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# reload the data using your parser, set the index to the date \n",
    "alcohol_consumption = pd.read_csv('data/NZAlcoholConsumption.csv', \n",
    "                                  parse_dates=['DATE'], \n",
    "                                  date_parser=parse_quarter,\n",
    "                                  index_col='DATE')\n",
    "alcohol_consumption.sort_index(inplace=True)\n",
    "alcohol_consumption.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Display the time series\n",
    "\n",
    "Now, have a look at the consumtion of wine and beer, show both on the same figure. Discuss the two time series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11b77e0b8>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(alcohol_consumption.TotalWine, \"-o\", label=\"Wine\")\n",
    "plt.plot(alcohol_consumption.TotalBeer, \"-o\", label=\"Beer\")\n",
    "plt.legend(fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plots show that the two time series have similar patterns in terms of seasonality but different trends.\n",
    "Both show that alcohol consumption is maximum in the last quarter of the year and is usually at its lowest in the second quarter. \n",
    "The average beer consumption seems stable during the years, while the wine consumption seems to be steadily increasing. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: resample the data per year (12 months) \n",
    "Can you resample the data per year (12 months) and see whether the trends come out better? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11c3936d8>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "alc_yearly = alcohol_consumption.resample('12M').mean()\n",
    "plt.figure(figsize=(12, 3))\n",
    "plt.plot(alc_yearly.TotalWine, \"-o\", label=\"Wine\")\n",
    "plt.plot(alc_yearly.TotalBeer, \"-o\", label=\"Beer\")\n",
    "plt.legend(fontsize=12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11c2a8240>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "alc_yearly = alcohol_consumption.resample('Y').mean()\n",
    "plt.figure(figsize=(12, 3))\n",
    "plt.plot(alc_yearly.TotalWine, \"-o\", label=\"Wine\")\n",
    "plt.plot(alc_yearly.TotalBeer, \"-o\", label=\"Beer\")\n",
    "plt.legend(fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moving Windows\n",
    "\n",
    "In the cells below you will explore the effect of applying a \"Rolling Average\" to the data i.e.: look at a number of successive points, take the average, and replace the window by the average (either at the extreme right of the window, or at the center)\n",
    "\n",
    "* Use the `rolling` method from `pd.Series` ([documentation](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.rolling.html#pandas.Series.rolling))\n",
    "* specify a window of 4 points\n",
    "\n",
    "plot the averaged line and the original time series and discuss. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(alcohol_consumption.TotalWine,\n",
    "         '-o', label='wine consumption')\n",
    "rolling_mean = alcohol_consumption.TotalWine.rolling(window=4).mean()\n",
    "plt.plot(rolling_mean, label='trend')\n",
    "plt.legend(fontsize=12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The rolling mean curve seems to capture the trend nicely and removes much of the seasonal movements. \n",
    "This curves allows to better appreciate the overall increase of wine consumption over time as well as the dip in consumption in 2008. \n",
    "\n",
    "To explore this rolling average further, it's nice to look at widgets. Have alook at the cell below and modify at will. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5c70506ab3384801ad5bf684c9e97442",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=5, description='window_size', max=10), Output()), _dom_classes=('widget-…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact, interactive, fixed, interact_manual\n",
    "import ipywidgets as widgets\n",
    "\n",
    "def rolling_avg_plot(window_size):\n",
    "    plt.plot(alcohol_consumption.TotalWine, \n",
    "             '-o', label='wine consumption')\n",
    "    rolling = alcohol_consumption.TotalWine.rolling(window=window_size).mean()\n",
    "    plt.plot(rolling, label='trend')\n",
    "    plt.legend();\n",
    "    plt.show()\n",
    "\n",
    "interact(rolling_avg_plot, window_size=(0, 10));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: plot the moving sum with a window of width 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(alcohol_consumption.TotalWine,\n",
    "         '-o', label='wine consumption')\n",
    "rolling_mean = alcohol_consumption.TotalWine.rolling(window=4).sum()\n",
    "plt.plot(rolling_mean, label='trend')\n",
    "plt.legend(fontsize=12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Differencing\n",
    "\n",
    "Differencing amounts to looking at the time series formed of differences between values separated by a given lag: \n",
    "\n",
    "$y'_t = y_t-y_{t-1}$\n",
    "\n",
    "for a lag of 1. Show the time series for `TotalWine` and the differenced one (with lag 1). What do you observe? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11b63e7f0>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(alcohol_consumption.TotalWine, '-o', \n",
    "         label=\"original ts\")\n",
    "plt.plot(alcohol_consumption.TotalWine.diff(1), '-o', \n",
    "         label=\"differenced ts (lag=1)\")\n",
    "plt.legend(fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get a feel for what a good lag should be (though here, intuitively, you should realise that a lag of `4` is a good idea), you can look at the cell below that shows differenced series for increasing lags. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "24465dc13f034737b1ea4768fa5255d1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=5, description='d', max=10, min=1), Output()), _dom_classes=('widget-int…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def differencing_plot(d):\n",
    "    differenced_ts = alcohol_consumption.TotalWine.diff(d)\n",
    "    plt.plot(differenced_ts, '-o')\n",
    "    plt.show()\n",
    "\n",
    "interact(differencing_plot, d=(1, 10));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autocorrelation\n",
    "\n",
    "Autocorrelation measures the correlation (similarity) between the time series and a lagged version of itself. \n",
    "\n",
    "* Use the `autocorr` method ([documentation](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.autocorr.html)) to compute the autocorrelation for lag from 1 to 13\n",
    "* Display the values of the autocorrelation using a stem plot (`plt.stem`) \n",
    "\n",
    "What do you observe? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Autocorrelation')"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lags = range(1, 13)\n",
    "autocorrs = [alcohol_consumption.TotalWine.autocorr(lag=lag) \n",
    "                   for lag in lags]\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.stem(lags, autocorrs)\n",
    "plt.xlabel(\"Lag\", fontsize=12)\n",
    "plt.ylabel(\"Autocorrelation\", fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's quite clear from this plot that the time series is self-similar to itself with a lag of 4 and consistently so (so also with a lag of 8, 12, etc)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
